The document discusses different pressure coupling methods used in molecular dynamics simulations. It describes the Berendsen weak pressure coupling method which rescales coordinates and box vectors at each step to achieve the correct average pressure through exponential relaxation. It then focuses on the Parrinello Rahman pressure coupling method which is based on the constant NPT ensemble and allows volume and shape fluctuations by adding an extra degree of freedom similar to Nose-Hoover temperature coupling. The Parrinello Rahman method models the box deformation through a matrix determined by the pressure and temperature. It is more accurate but also more difficult to program than Berendsen coupling.